• 제목/요약/키워드: Root finding

검색결과 179건 처리시간 0.025초

희유한 유합치의 일례 (A case of a rare fused teeth.)

  • 정태영
    • 대한치과의사협회지
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    • 제4권1호
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    • pp.41-43
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    • 1963
  • A rare case of a fused teeth on the side of upper left third molar was observed from a 28 years old Korean male. The characteristics were as follows: 1)The upper third molar fusrd with the suppernumerary tooth .2)The crown part of the fused teeth were separated and the root were fused. 3)On the x-ray finding. the pulp chamber was two , but it had only one pulp canal.

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CUBIC FORMULA AND CUBIC CURVES

  • Woo, Sung Sik
    • 대한수학회논문집
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    • 제28권2호
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    • pp.209-224
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    • 2013
  • The problem of finding rational or integral points of an elliptic curve basically boils down to solving a cubic equation. We look closely at the cubic formula of Cardano to find a criterion for a cubic polynomial to have a rational or integral roots. Also we show that existence of a rational root of a cubic polynomial implies existence of a solution for certain Diophantine equation. As an application we find some integral solutions of some special type for $y^2=x^3+b$.

A QUADRATICALLY CONVERGENT ITERATIVE METHOD FOR NONLINEAR EQUATIONS

  • Yun, Beong-In;Petkovic, Miodrag S.
    • 대한수학회지
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    • 제48권3호
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    • pp.487-497
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    • 2011
  • In this paper we propose a simple iterative method for finding a root of a nonlinear equation. It is shown that the new method, which does not require any derivatives, has a quadratic convergence order. In addition, one can find that a hybrid method combined with the non-iterative method can further improve the convergence rate. To show the efficiency of the presented method we give some numerical examples.

A NOTE ON THE PAPER ENTITLED SIXTEENTH-ORDER METHOD FOR NONLINEAR EQUATIONS

  • Kim, Young Ik
    • 충청수학회지
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    • 제25권2호
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    • pp.359-365
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    • 2012
  • The purpose of this paper is to provide some corrections regarding algebraic flaws encountered in the paper entitled "Sixteenth-order method for nonlinear equations" which was published in January of 2010 by Li et al.[9]. Further detailed comments on their error equation are stated together with convergence analysis as well as high-precision numerical experiments.

임상가를 위한 특집 3 - 현미경을 이용한 비외과적 근관치료 (Dental microscope in Nonsurgical Endodontics)

  • 김진우
    • 대한치과의사협회지
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    • 제51권10호
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    • pp.556-564
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    • 2013
  • Modern endodontics has essentially changed following the introduction of the dental microscope since 1990's. One of main advantage of using dental microscope in nonsurgical endodontic treatment is enhancing clinician's ability and quality of treatment through illumination and magnification. Scopes of dental microscope in nonsurgical endodontics are finding a missed or additional root canal and a tooth crack, management of procedural errors, and others. These improvements in technology will result in greater confidence in treatment and better success in clinical practice.

유한체 위에서 다항식의 근에 관한 알고리즘 (A root finding algorithm of a polynomial over finite fields)

  • 김창한
    • 정보보호학회논문지
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    • 제7권4호
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    • pp.73-80
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    • 1997
  • 유한체 위에서 다항식의 근을 구하는 문제는 수학의 오래된 문제중 하나이고 최근들어 암호학과 관련하여 유한체 위서의 다항식 연산과 성질등이 쓰이고 있다. 유한체 위에서 다항식의 최대공약수(greatest common divisor) 를 구하는데 많은 시간이 소요 된다. Rabin의 알고리즘에서 주어진 다항식의 근들의 곱(F(x), $x^{q}$ -x)를 구하는 과정을 c F(p), $f_{c}$ (x)=(F(x), $T_{r}$ (x)-c), de$gf_{c}$ (x)>0인 $f_{c}$(x) s로 대체한 효율적인 알고리즘 제안과 Mathematica를 이용한 프로그램의 실행 결과를 제시한다.

A KANTOROVICH-TYPE CONVERGENCE ANALYSIS FOR THE QUASI-GAUSS-NEWTON METHOD

  • Kim, S.
    • 대한수학회지
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    • 제33권4호
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    • pp.865-878
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    • 1996
  • We consider numerical methods for finding a solution to a nonlinear system of algebraic equations $$ (1) f(x) = 0, $$ where the function $f : R^n \to R^n$ is ain $x \in R^n$. In [10], a quasi-Gauss-Newton method is proposed and shown the computational efficiency over SQRT algorithm by numerical experiments. The convergence rate of the method has not been proved theoretically. In this paper, we show theoretically that the iterate $x_k$ obtained from the quasi-Gauss-Newton method for the problem (1) actually converges to a root by Kantorovich-type convergence analysis. We also show the rate of convergence of the method is superlinear.

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현장에 적합한 샤이니-시그마 기법 제안 (Suggested Shiny-Sigma method suitable for the shop floor)

  • 김강희;이상복
    • 품질경영학회지
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    • 제45권2호
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    • pp.227-246
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    • 2017
  • Purpose: This study proposes a Shiny-Sigma Methods that combines the advantages of Six Sigma method and Shainin method in order to solve field defect. Each technique has advantages and disadvantages. Methods: This study proposed Shiny-Sigma by combining Six Sigma has the logical advantage of the problem solving road map and Shiny has the merits of finding the root problem from the defective phenomenon. The Six Sigma method has the disadvantage that it is difficult to solve if the number of data is small, but the Shiny method has the advantage of finding the root cause with a small number of data. Results: As a result of applying Shiny-Sigma method to the field, it has advantages of solving the problem easily and quickly than the existing Six Sigma method. It does not require a lot of statistical knowledge, which helps field workers to use it. Based on these successes L Co. company has obtained the effect of improving the production quality by applying the Shiny-Sigma method. Conclusion: The Shiny-Sigma method proved to be suitable for the production site as a result of field application. It is suitable for field workers with low statistical knowledge and is suitable for field where data is difficult to obtain. This method is not a method to solve all the problems because there are problems that can be solved according to the field problems. We hope that this method will spread to many industrial sites and this method will have a great effect on the improvement of field production quality.

최소신장트리를 위한 크루스칼 알고리즘의 효율적인 구현 (An Efficient Implementation of Kruskal's Algorithm for A Minimum Spanning Tree)

  • 이주영
    • 한국컴퓨터정보학회논문지
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    • 제19권7호
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    • pp.131-140
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    • 2014
  • 본 논문에서는 최소신장트리를 구하는 크루스칼 알고리즘의 효율적인 구현 방법을 제시한다. 제시하는 방법은 union-find 자료구조를 이용하며, 노드 집합을 나타내는 각 트리의 깊이를 줄이기 위해 union 연산시 루트까지의 경로에 있는 노드들의 위치를 최종 루트의 자식노드로 직접 이동하여 깊이를 줄이도록 하는 방법이다. 이 방법은 루트까지의 경로를 축소하고 노드의 레벨을 축소시킴으로써 트리의 깊이도 줄일 수 있다. 트리의 깊이가 줄어든다면 노드가 속하는 트리의 루트를 찾는 시간을 줄일 수 있게 되어 효율적인 방법이라 할 수 있다. 본 장에서 제안하는 방법을 그래프로 평가해보고 분석해 본 결과, 기존의 union() 방법이나 경로축소방법인 union2() 보다 트리의 깊이를 작게 유지함을 알 수 있다.

The Panax ginseng Flowering Locus T Shows Age Specific Expression Pattern in Ginseng and Increases Root Length in Transgenic Arabidopsis

  • Mohanan, Padmanaban;Myagmarav, Davajargal;Zhang, Dabing;Kim, Yu-Jin;Yang, Deok-Chun
    • 한국자원식물학회:학술대회논문집
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    • 한국자원식물학회 2018년도 춘계학술발표회
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    • pp.17-17
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    • 2018
  • Panax ginseng Meyer is a perennial medicinal plant, the roots of which has been used in the traditional formulations in Oriental countries. To understand its floral transition, we isolated Flowering Locus T (FT) from ginseng, the bioinformatics analysis of PgFT has revealed a considerable homology to the higher plants, with the essential amino acids for FT function are conserved. The phylogenetic analysis has shown that the PgFT is belonged to the shrub classes of plants and closest kin to Jatropha curcas FT. The expression profiling from juvenile (2-year-old) were abundant in leaves as well as in root and was concentrated in the secondary leaflet and stem bottom in adult (4-year-old) ginseng plant tissues, moreover PgFT transcript displayed photoperiod dependent oscillation. The ectopic expression of PgFT in Arabidopsis thaliana, exhibit precocious flowering and several floral pathway integrators were up-regulated, interestingly their root length was increased in the transgenic seedlings. Therefore, we could conclude that PgFT encodes a florigen that acts as a key regulator in the flowering pathway in ginseng and hypothesize that, it might involve in the underground organ development as well. We believe our finding could provoke future studies on the physiology and development in P. ginseng.

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